Question

If the angle of traingle
& ore
in the ratio 1:45, find the angles​

Answer 1

Correct Question :

If the angles of triangle are 1:4:5. Find the angles

Answer :-

• The angles of triangle are 18°, 72° and 90°.

Step-by-step explanation :-

To Find :-

• The angles are triangle

Solution :-

Given that,

• The angles of triangle are in the ratio of 1:4:5

Assumption: Let us assume the unknown ratio angles as 1x, 4x and 5x, As we know that,

Sum of all interior angles of ∆ = 180°,

Therefore,

• 1x + 4x + 5x = 180°

=> 1x + 4x + 5x = 180

=> 5x + 5x = 180

=> 10x = 180

=> x = 180/10

=> x = 18

• The value of x is 18.

Now, the angles of triangle are :-

The angle which we assumed as 1x,

=> 1x

=> 1*18

=> 18°

The angle which we assumed as 4x,

=> 4x

=> 4*18

=> 72°

The angle which we assumed as 5x,

=> 5x

=> 5*18

=> 90°

Hence,

• The angles of triangle are 18°, 72° and 90°.

Answer 2

Correct Question :-

• If the angle of traingle are in the ratio 1:4:5, find the angles.

Given :-

• Shape = Triangle
• The angles of a triangle ABC are in the ratio 1:4:5

To Find :-

• Measures of each angle of the Triangle

Solution :-

Let the First Angle be x

Let the Second Angle be 4x

Let the Third Angle be 5x

★ Angle Sum Property of Triangle is 180° ★

According to the Question :-

➞ ∠1 + ∠2 + ∠3 = 180

➞ x + 4x + 5x = 180

➞ x + 9x = 180

➞ 10x = 180

➞ x = 180/10

➞ x = 18

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Verification :-

➞ ∠1 + ∠2 + ∠3 = 180

➞ 18 + 4 × 18 + 5 × 18 = 180

➞ 18 + 72 + 90 = 180

➞ 18 + 162 = 180

➞ 180 = 180

Hence Verified

________________

Therefore :-

• First Angle = x = 18°
• Second Angle = 4x = 4 × 18 = 72°
• Third Angle = 5x = 5 × 18 = 90°

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